Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
type: Item
instance of: scholarly article
title: Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
zbMATH Open document ID: 1093.47058
author: Hideaki Iiduka
author: Wataru Takahashi
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2005-05-12T00:00:00Z
review text: The authors suggest and analyze an iterative scheme for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequalities involving a strongly monotone (inverse-strongly monotone) mapping in a Hilbert space under some conditions. Some applications are also indicated. The paper is well written and contains some nice results.
reviewed by: Muhammad Aslam Noor
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H05
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47J20
zbMATH DE Number: 2167863
zbMATH Keywords: metric projection
zbMATH Keywords: inverse-strongly monotone mapping
zbMATH Keywords: nonexpansive mappings
zbMATH Keywords: fixed points
zbMATH Keywords: variational inequalities
zbMATH Keywords: iterative schemes
zbMATH Keywords: strong convergence
MaRDI profile type: Publication
full work available at URL: j.na.2003.07.023
OpenAlex ID: W2035973668
cites work: Nonlinear monotone operators and convex sets in Banach spaces
cites work: The fixed point theory of multi-valued mappings in topological vector spaces
cites work: Construction of fixed points of nonlinear mappings in Hilbert space
cites work: On the weak convergence of an ergodic iteration for the solution of variational inequalities for monotone operators in Hilbert space
cites work: Fixed points of nonexpanding maps
cites work: Q4653163
cites work: Variational inequalities
cites work: Regularization of nonlinear ill-posed variational inequalities and convergence rates
cites work: Q4779602
cites work: Weak convergence of the sequence of successive approximations for nonexpansive mappings
cites work: On the Maximality of Sums of Nonlinear Monotone Operators
cites work: Monotone Operators and the Proximal Point Algorithm
cites work: Nonlinear variational inequalities and fixed point theorems
cites work: Convex analysis \& approximation of fixed points
cites work: Nonlinear functional analysis. Fixed point theory and its applications
cites work: Weak convergence theorems for nonexpansive mappings and monotone mappings
cites work: Approximation of fixed points of nonexpansive mappings
cites work: The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings
DOI: 10.1016/J.NA.2003.07.023
description: scientific article; zbMATH DE number 2167863